doi: 10.1103/PhysRevE.90.010901.
Epub 2014 Jul 28.
Derivation of a neural field model from a network of theta neurons
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- PMID: 25122239
- DOI: 10.1103/PhysRevE.90.010901
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Derivation of a neural field model from a network of theta neurons
Phys Rev E Stat Nonlin Soft Matter Phys.
2014 Jul.
Abstract
Neural field models are used to study macroscopic spatiotemporal patterns in the cortex. Their derivation from networks of model neurons normally involves a number of assumptions, which may not be correct. Here we present an exact derivation of a neural field model from an infinite network of theta neurons, the canonical form of a type I neuron. We demonstrate the existence of a "bump" solution in both a discrete network of neurons and in the corresponding neural field model.
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